The diameter of roller 1.5 m long is 84 cm.If it takes 100 revolutions to level a playground, find the cost of leveling this ground at the rate of 50 paise per square meter.
Given that
Diameter of the roller (d) = 85 cm = 0.84 m
Length of the roller = 1.5 m
Radius of the roller(r) = d/2
= 0.842 = 0.42 m
The total area of the playground covered by the roller in one revolution=covered area of the roller
Curved surface area of the roller = 2πrh
= 2 * 3.14 * 0.42 * 1.5
$=0.12 * 22 * 1.5 \mathrm{~m}^{2}$
Area of the playground = 100 * Area covered by roller in one revolution
$=(100 * 0.12 * 22 * 1.5) \mathrm{m}^{2}$
$=396 \mathrm{~m}^{2}$
Now,
Cost of leveling $1 \mathrm{~m}^{2}=50 \mathrm{p}=$ Rs $0.5$
Cost of leveling $396 \mathrm{~m}^{2}=$ Rs. $396 * 0.5=$ Rs. 198
Hence, cost of leveling $396 \mathrm{~m}^{2}$ is Rs. 198